Hints for formatting the data of your submitted packings

1. The radii, author name(s) and coordinates of each packing should be put in an extra file named with the extension .pck as follows. For example,
   
   "ccin34.pck" (for Circles in a CIrcle with r_i = i and N=34),
   "ccis23.pck" (for Circles in a CIrcle with r_i = i^(-1/2) and N=23),
   "scu12.pck" (for equal Spheres in a CUbe with N=12), and so on.
   
   The prefixes are the same as the names of the subdirectories of packomania.
   
   
2. It would be great if you can write the coordinates of each packing in the following format (data in brackets are optional except the radii in the last column if there are unequal objects in the packing; in this case the radii are mandatory):
   
   radius
your name(s) here
-0.86316710103267    0.406124264223147    [z_coordinate_in_3D]    [radius_1]
0.566009599820516    0.7058690726472174    [z_coordinate_in_3D]    [radius_2]
-0.63521679012343    -0.582420752358981    [z_coordinate_in_3D]    [radius_3]
0.640421565501216    -0.5058241354410553    [z_coordinate_in_3D]    [radius_4]
-0.05910602881140    0.1526797786896851    [z_coordinate_in_3D]    [radius_5]
-0.44254559148916    0.5771329999083729    [z_coordinate_in_3D]    [radius_6]
0.141487900344812    0.66697902042574066    [z_coordinate_in_3D]    [radius_7]
-0.63569636970639    -0.029203828101066    [z_coordinate_in_3D]    [radius_8]
0.584039910169077    0.08986199788658343    [z_coordinate_in_3D]    [radius_9]
-0.00095887178982    -0.545457690476027    [z_coordinate_in_3D]    [radius_10]
   
   
   • Write the radius of the circle or sphere (for equal objects) or the radius of the largest objects (for unequal objects) — according to the given size distribution — in the first line. Do not include letters or an equal sign.
     Please note that the size of the container is always fixed here:
     
     circular container: radius = 1, center at (0,0)
     spherical container: radius = 1, center at (0,0,0)
     square container: side length = 1, center at (0,0)
     cube container: edge length = 1, center at (0,0,0).
     
     Therefore, the coordinates of the objects must be rescaled such that they fit properly into the container.
     
     
   • Enter your name in the second line; if there is more than one author separate the names by commas.
     
     
   • The coordinates section starts with the third line.
     Please sort all coordinate lines by increasing radii (only for unequal objects), i.e. the first coordinate line contains the smallest object and the last line is for the largest object.
     Separate the columns of each line by white spaces or tabs.
     Always provide as many decimal places as possible.
   
   
   
3. All files may be zipped into an archive file.
   
   
4. Note on 'csqv' packings (variable-sized circles in a square with maximized sum of radii):
   Please assure in your submissions that there is the correct number of contacts in each packing: If you have N circles, then it must be at least 3N contacts at all. This means that not only must the circles not overlap, but they must also be large enough to get in contact with a tolerance smaller than 3e-12.